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New efficient numerical methods to describe the heat transfer in a solid medium

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New efficient numerical methods to describe the heat transfer in a solid medium

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dc.contributor.author Ponsoda Miralles, Enrique es_ES
dc.contributor.author Blanes Zamora, Sergio es_ES
dc.contributor.author Bader, Philipp es_ES
dc.date.accessioned 2015-05-26T12:39:55Z
dc.date.available 2015-05-26T12:39:55Z
dc.date.issued 2011-10
dc.identifier.issn 0895-7177
dc.identifier.uri http://hdl.handle.net/10251/50787
dc.description.abstract The analysis of heat conduction through a solid with heat generation leads to a linear matrix differential equation with separated boundary conditions. We present a symmetric second order exponential integrator for the numerical integration of this problem using the imbedding formulation. An algorithm to implement this explicit method in an efficient way with respect to the computational cost of the scheme is presented. This method can also be used for nonlinear boundary value problems if the quasilinearization technique is considered. Some numerical examples illustrate the performance of this method. © 2010 Elsevier Ltd. es_ES
dc.description.sponsorship The authors acknowledge the support of the Generalitat Valenciana through the project GV/2009/032 and the Ministerio de Ciencia e Innovacion (Spain) under projects MTM2007-61572 and MTM2009-08587 (co-financed by the ERDF of the European Union). en_EN
dc.language Español es_ES
dc.publisher Elsevier es_ES
dc.relation Ministerio de Ciencia e Innovacion (Spain) MTM2007-61572 MTM2009-08587 es_ES
dc.relation ERDF of the European Union es_ES
dc.relation.ispartof Mathematical and Computer Modelling es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Heat conduction es_ES
dc.subject Imbedding formulation es_ES
dc.subject Matrix boundary value problem es_ES
dc.subject Second order exponential integrators es_ES
dc.subject Thermal energy es_ES
dc.subject Computational costs es_ES
dc.subject Efficient numerical method es_ES
dc.subject Explicit method es_ES
dc.subject Exponential integrators es_ES
dc.subject Linear matrix es_ES
dc.subject Matrix boundary es_ES
dc.subject Nonlinear boundary value problems es_ES
dc.subject Numerical example es_ES
dc.subject Numerical integrations es_ES
dc.subject Quasi-linearization es_ES
dc.subject Second orders es_ES
dc.subject Solid medium es_ES
dc.subject Boundary conditions es_ES
dc.subject Boundary value problems es_ES
dc.subject Computational efficiency es_ES
dc.subject Differentiation (calculus) es_ES
dc.subject Integration es_ES
dc.subject Numerical methods es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title New efficient numerical methods to describe the heat transfer in a solid medium es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.mcm.2010.11.067
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Ponsoda Miralles, E.; Blanes Zamora, S.; Bader, P. (2011). New efficient numerical methods to describe the heat transfer in a solid medium. Mathematical and Computer Modelling. 54(7-8):1858-1862. doi:10.1016/j.mcm.2010.11.067 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.mcm.2010.11.067 es_ES
dc.description.upvformatpinicio 1858 es_ES
dc.description.upvformatpfin 1862 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 54 es_ES
dc.description.issue 7-8 es_ES
dc.relation.senia 39550


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